I'll confirm no dvr function for TWC channels, also only gets you about 55 channels if you have basic analog service from Time Warner. It does get me a couple of extra channels not in my basic lineup.
Roku is an easy winner over android sticks for watching video for me. Roku's intuitive remote with pause fast forward and rewind is superior to android sticks and air mice. I think the android mini pc's are not ready for prime time and more for those who's motto is "If it ain't broke...tinker with it till it is broke" and enjoy the tinkering.
I ordered my second Roku 12 days ago from 1Sale A Day/Ebay and tracking shows it will be here today or tomorrow...so slow on the shipping.